Subsections
[Cr:4, Lc:3, Tt:1, Lb:0]
- Free groups, group presentations, Cayley graphs.
- Amalgamated free products and HNN extensions.
- Structure of a group acting on a tree.
- Ends of a group.
- Group actions and quasi-isometries.
- Hyperbolic spaces. Hyperbolic groups.
- Growth of groups. Polynomial, sub-exponential, exponential growth of groups. Gromov’s theorem on groups of polynomial growth.
- Grigorchuk group.
- Subgroup growth of free groups.
- Bowditch, B. H.: A course on geometric group theory, MSJ Memoirs, Mathematical Society of Japan, Volume 16, 2006.
- Bridson, M. R.; Haefliger, A.: Metric spaces of non-positive curvature, Grundlehren der mathematischen Wissenschaften, Volume 319, Springer, 1999.
- Ghys, E.; de la Harpe, P.; Editors: Sur les Groupes Hyperboliques d’apr`es Mikhael Gromov, Progress in mathematics, Birkhäuser, 1990.
- Pierre de la Harpe: Topics in Geometric Group Theory, Chicago Lectures in Mathematics, The University of Chicago Press, 2000.
- Alexander Lubotzky, Dan Segal. Subgroup Growth. Birkhuser, 2003.
- Mann, A.: How groups grow, London Mathematical Society Lecture Note Series 395, Cambridge University Press, 2012.
